Question

Найдите решение системы уравнений, с пошаговым решением​

Answer 1

1) Ответ: x=11 ; y=3

$\left \{ {{x + y = 14} \atop {x - y = 8}} \right. + \\ 2x = 22 \\ x = 11 \\ \\ x + y = 14 \\ 11 + y = 14 \\ y = 3$

2) Ответ: x=15 ; y=8

$\left \{ {{x - y = 7} \atop {x + y = 23}} \right. + \\ 2x = 30 \\ x = 15 \\ \\ x + y = 15 \\ 15 + y = 23 \\ y = 8$

3) Ответ: x=23 ; y=9

$\left \{ {{x + y = 32} \atop {x - y = 14}} \right. + \\ 2x = 46 \\ x = 23 \\ \\ x + y = 32 \\ 23 + y = 32 \\ y = 9$

4) Ответ: x=10 ; y=19

$\left \{ {{x - y = 9} \atop {x + y = 29}} \right. + \\ 2x = 20 \\ x = 10 \\ \\ x + y = 29 \\ 10 + y = 29 \\ y = 19$

5) Ответ: x=3 ; y=5

$\left \{ {{2x + y = 11} \atop {3x - y = 4}} \right. + \\ 5x = 15 \\ x = 3 \\ \\ 2x + y = 11 \\ 2 \times 3 + y = 11 \\ 6 + y = 11 \\ y = 5$

6) Ответ: x=2 ; y=1

$\left \{ {{3x - y = 5} \atop {4x + y = 9}} \right. + \\ 7x = 14 \\ x = 2 \\ \\ 4x + y = 9 \\ 4 \times 2 + y = 9 \\ 8 + y = 9 \\ y = 1$